Electron-phonon interaction in a very low mobility<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">GaAs</mml:mi><mml:mo>/</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Ga</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mi>−</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">Al</mml:mi></mml:mrow><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="normal">As</mml:mi></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>δ</mml:mi></mml:math>-doped gated quantum well
Why this work is in the frame
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Bibliographic record
Abstract
The energy relaxation rate for hot electrons in a gated $\mathrm{GaAs}/{\mathrm{Ga}}_{1\ensuremath{-}x}{\mathrm{Al}}_{x}\mathrm{As}$ $\ensuremath{\delta}$-doped quantum well has been measured over the temperature range 0.3--3 K. At higher temperatures the loss rate varies as ${T}^{5}$ and the magnitude agrees well with that predicted by the standard theory for piezoelectric electron-phonon scattering. At low temperatures the observed dependence changes to ${T}^{4},$ the crossover occuring near $\mathrm{ql}\ensuremath{\sim}0.35,$ where q is the average magnitude of the phonon wave vector and l the electron mean free path. This is in agreement with recent theoretical predictions for piezoelectric scattering in the dirty limit. The theory also predicts that the magnitude of the energy-loss rate should depend inversely on the conductivity of the sample. Good agreement is found at higher conductivities, but the measured values show saturation when the conductivity becomes very low.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.007 | 0.004 |
| Meta-epidemiology (narrow) | 0.004 | 0.008 |
| Meta-epidemiology (broad) | 0.002 | 0.008 |
| Bibliometrics | 0.002 | 0.005 |
| Science and technology studies | 0.005 | 0.006 |
| Scholarly communication | 0.007 | 0.007 |
| Open science | 0.009 | 0.007 |
| Research integrity | 0.008 | 0.008 |
| Insufficient payload (model declined to judge) | 0.912 | 0.015 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it